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221311001213 = 1737334901593
BaseRepresentation
bin1100111000011100101…
…0011110001001111101
3210011020112200201022122
43032013022132021331
512111221104014323
6245400250452325
721663202320611
oct3160712361175
9704215621278
10221311001213
11859483218a5
1236a847340a5
1317b3c4b4273
14a9d654d341
155b54354ec8
hex338729e27d

221311001213 has 8 divisors (see below), whose sum is σ = 234957530808. Its totient is φ = 207734275584.

The previous prime is 221311001201. The next prime is 221311001237. The reversal of 221311001213 is 312100113122.

It can be written as a sum of positive squares in 4 ways, for example, as 81268895929 + 140042105284 = 285077^2 + 374222^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221311001213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 221311001191 and 221311001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311001293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17444456 + ... + 17457137.

It is an arithmetic number, because the mean of its divisors is an integer number (29369691351).

Almost surely, 2221311001213 is an apocalyptic number.

It is an amenable number.

221311001213 is a deficient number, since it is larger than the sum of its proper divisors (13646529595).

221311001213 is a wasteful number, since it uses less digits than its factorization.

221311001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34901983.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221311001213 its reverse (312100113122), we get a palindrome (533411114335).

The spelling of 221311001213 in words is "two hundred twenty-one billion, three hundred eleven million, one thousand, two hundred thirteen".

Divisors: 1 17 373 6341 34901593 593327081 13018294189 221311001213